The term spline curve now refers to any composite curve formed with polynomial sections satisfying any specified continuity conditions at the boundary of the pieces.
A spline surface can be described with two sets of spline curves.
Splines are used to design curve and surface shapes, to digitize drawings, and to specify animation paths for the objects or the camera position in a scene.
We specify a spline curve by giving a set of coordinate positions, called control points
In Figure 1, the resulting curve is said to interpolate the set of control points.
In Figure 2, the resulting curve is said to approximate the set of control points
This spline approximation method was developed by the French engineer Pierre Bézier for use in the design of Renault automobile bodies.
Bézier splines have a number of properties that make them highly useful and convenient for curve and surface design.
A Bézier curve section can be fitted to any number of control points, although some graphic packages limit the number of control points to four.
The degree of the Bézier polynomial is determined by the number of control points to be approximated and their relative position.
OpenGL complete sample code / Processing
Check chapter 13 of the book
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